Amodel house that runs completely on renewable energy uses 22 windmills and 33 solar panels. each windmill generates mm kilowatt-hours (kwh) of energy per year, ad each solar panel generates ss kwh per year. which expressions can we use to describe how many kwh of energy the model house will output in 1010 years?

Total energy output in 1010 years = (22·M + 33·S) × 1010 kWh

Step-by-step explanation:

Number of windmills in the model house = 22

Energy generated by one windmill per year = M kWh

Energy generated by 22 windmills per year = 22 × M kWh

Number of solar panels in the model house = 33

Energy generated by one solar panel per year = S kWh

Energy generated by 33 solar panels per year = 33 × S kWh

Now, Total energy output by 22 windmills and 33 solar panels in one year = (22 × M + 33 × S) kWh

Hence, Total energy output in 1010 years = (22·M + 33·S) × 1010 kWh

step-by-step explanation:

abc

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true